%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN055+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 08:59:02 EDT 2022
% Result : Theorem 0.12s 0.34s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 4
% Syntax : Number of formulae : 28 ( 8 unt; 0 def)
% Number of atoms : 58 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 56 ( 26 ~; 17 |; 11 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-1 aty)
% Number of functors : 1 ( 1 usr; 1 con; 0-0 aty)
% Number of variables : 19 ( 0 sgn 11 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel25_1,axiom,
? [X] : big_p(X) ).
fof(pel25_2,axiom,
! [X] :
( big_f(X)
=> ( ~ big_g(X)
& big_r(X) ) ) ).
fof(pel25_3,axiom,
! [X] :
( big_p(X)
=> ( big_g(X)
& big_f(X) ) ) ).
fof(pel25,conjecture,
? [X] :
( big_q(X)
& big_p(X) ) ).
fof(subgoal_0,plain,
? [X] :
( big_q(X)
& big_p(X) ),
inference(strip,[],[pel25]) ).
fof(negate_0_0,plain,
~ ? [X] :
( big_q(X)
& big_p(X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
? [X] : big_p(X),
inference(canonicalize,[],[pel25_1]) ).
fof(normalize_0_1,plain,
big_p(skolemFOFtoCNF_X),
inference(skolemize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ big_p(X)
| ( big_f(X)
& big_g(X) ) ),
inference(canonicalize,[],[pel25_3]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ big_p(X)
| ( big_f(X)
& big_g(X) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ( ~ big_p(X)
| big_f(X) )
& ( ~ big_p(X)
| big_g(X) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ big_p(X)
| big_f(X) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ big_f(X)
| ( ~ big_g(X)
& big_r(X) ) ),
inference(canonicalize,[],[pel25_2]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ big_f(X)
| ( ~ big_g(X)
& big_r(X) ) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ( ~ big_f(X)
| ~ big_g(X) )
& ( ~ big_f(X)
| big_r(X) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ big_f(X)
| ~ big_g(X) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ big_p(X)
| big_g(X) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
big_p(skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ big_p(X)
| big_f(X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_2,plain,
( ~ big_p(skolemFOFtoCNF_X)
| big_f(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_3,plain,
big_f(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ big_f(X)
| ~ big_g(X) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_5,plain,
( ~ big_f(skolemFOFtoCNF_X)
| ~ big_g(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_6,plain,
( ~ big_p(X)
| big_g(X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_7,plain,
( ~ big_p(skolemFOFtoCNF_X)
| big_g(skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_8,plain,
big_g(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_p(skolemFOFtoCNF_X) )],[refute_0_0,refute_0_7]) ).
cnf(refute_0_9,plain,
~ big_f(skolemFOFtoCNF_X),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_X) )],[refute_0_8,refute_0_5]) ).
cnf(refute_0_10,plain,
$false,
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_X) )],[refute_0_3,refute_0_9]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN055+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n026.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 03:45:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.34 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.34
% 0.12/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.12/0.34
%------------------------------------------------------------------------------